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Finding the Fourth Proportional to 27,218.90, 40,830.65 and 7,497.46

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Solution

The fourth proportional to 27,218.90, 40,830.65 and 7,497.46 is: 11,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,218.90 : 40,830.65 = 7,497.46 : x
  2. Step 2: Convert to fraction form
    27,218.90/40,830.65 = 7,497.46/x
  3. Step 3: Cross multiply
    27,218.90x = 40,830.65 × 7,497.46
  4. Step 4: Simplify right side
    27,218.90x = 306,126,165.15
  5. Step 5: Solve for x
    x = 306,126,165.15/27,218.90
  6. Step 6: Final answer
    x = 11,246.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.